What is the 9979th prime number?
The 9979th prime number is 104537. The next prime is 104543 (a gap of 6) and the one before is 104527.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9979th one is 104537.
- 2
104537 is prime because no prime up to ā104537 ā 323.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9979th prime is close to 9979 Ć ln(9979) ā 91889, and here it is 104537.
- 4
104537 has no twin: neither 104535 nor 104539 is prime.
Primes around the 9979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
Questions
What is the 9979th prime number?
104537.
Which prime number is 104537?
104537 is the 9979th prime number.
What is the sum of the first 9979 primes?
493,967,844.